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Finding the Fourth Proportional to 82,914.50, 114,425.10 and 47,110.58

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Solution

The fourth proportional to 82,914.50, 114,425.10 and 47,110.58 is: 65,014.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,914.50 : 114,425.10 = 47,110.58 : x
  2. Step 2: Convert to fraction form
    82,914.50/114,425.10 = 47,110.58/x
  3. Step 3: Cross multiply
    82,914.50x = 114,425.10 × 47,110.58
  4. Step 4: Simplify right side
    82,914.50x = 5,390,632,137.66
  5. Step 5: Solve for x
    x = 5,390,632,137.66/82,914.50
  6. Step 6: Final answer
    x = 65,014.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.